Mathematics as a Laboratory Tool
Dynamics, Delays and Noise
Published on 23. August 2016
Book
Paperback/Softback
XXV, 500 pages
978-1-4939-5254-0 (ISBN)
Description
This introductory textbook is based on the premise that the foundation of good science is good data. The educational challenge addressed by this introductory textbook is how to present a sampling of the wide range of mathematical tools available for laboratory research to well-motivated students with a mathematical background limited to an introductory course in calculus.
Reviews / Votes
"This book, written in an engaging and intuitive style, is aimed at undergraduate biology students; its primary goal is to provide a clear, comprehensive overview of the appropriate mathematical instruments for data collection and analysis, both deterministic and stochastic. . the book also has the stated goal of contributing to a better shaping of the curricula for undergraduate biology education towards a better coverage of analytic, mathematical and computational methods." (Paul Georgescu, zbMATH 1319.92001, 2015)
More details
Edition
Softcover reprint of the original 1st ed. 2014
Language
English
Place of publication
New York
United States
Illustrations
158 s/w Abbildungen, 4 farbige Abbildungen
XXV, 500 p. 162 illus., 4 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 29 mm
Weight
791 gr
ISBN-13
978-1-4939-5254-0 (9781493952540)
DOI
10.1007/978-1-4614-9096-8
Schweitzer Classification
Other editions
Additional editions
Book
11/2014
Springer
€74.89
Article exhausted; check for reprint
Persons
John Milton, Professor of Biology and William R. Kenan Jr Chair n Computational Neuroscience, The Claremont Colleges; Adjunct Professor of Biotechnology, Keck Graduate Institute Toru Ohira, Professor Mathematics, Graduate School of Mathematics, Nagoya University, Japan
Content
Science and the mathematics of black boxes.- The mathematics of change.- Equilibria and steady states.- Stability.- Fixed-points: Creation and destruction.- Transient dynamics.- Frequency domain I: Bode plots and transfer functions.- Frequency domain II: Fourier analysis and power spectra.- Feedback and control systems.- Oscillations.- Beyond limit cycles.- Random perturbations.- Noisy dynamical systems.- Random walkers.- Thermodynamic perspectives.